Question

how do i find the seconds it'll take
If an object is projected upward from ground level with an initial velocity of 96ft/sec, its height h in feet after t seconds is given by the equation h=-16t^2+96t

Answer 1

Question not finished...

Answer 2

@Sooch ???

Answer 3

@Agl202 That's the whole problem on my worksheet and it then asks "After how many seconds does the object hit the ground?"

Answer 4

When it hits the ground, the height is \(\color{olive}{0}\).

\( \color{blue}{h}=-16t^2+96t \)
\( \color{blue}{0}=-16t^2+96t \)

\(\tt{solve}~{for}~{\color{red}{ t.}}\)

Answer 5

so i factor out -16t+96?

Answer 6

Exactly!

Answer 7

Yes. (Sooch I also typed a reply on your other question. )

Answer 8

okay thank you @mathway

Answer 9

\(\huge -16(t-6)=0\)

Answer 10

No problem!